Category Archives: PhD projects

Signatures of strongly coupled extensions of the Standard Model

The so-called lattice approach   is a very successful first principle method that allows to  solve Gauge Theories. Calculations resort to large scale simulations and are typically run on the largest supercomputers.  Lattice simulations are a unique tool to explore non perturbative phenomena in theories which are not well understood. In Nature, non perturbative phenomena

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A density of states approach to the overlap problem

Monte-Carlo methods are widely used in theoretical physics, statistical mechanics and condensed matter. Most of the applications have relied on importance sampling, which allows us to evaluate stochastically with a controllable error multi-dimensional integrals of localised functions. In lattice gauge theories, most quantities of interest can be expressed in the path integral formalism as ensemble

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Integrability conditions and computer algebra

Various dynamical systems are described by differential equations. In control theoretic problems (e.g., in robotics), it is essential to determine and utilise the degrees of freedom of a system. The aim of this project is to develop new algorithmic methods for determining integrability conditions for systems of partial differential equations (PDEs). Certain effective techniques in

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Bayesian approach to complex evidence synthesis with medical applications

This project is concerned with the development and application of statistical methods to combine evidence from clinical trials, to produce more reliable estimates, making informed and evidence-based decision for health. Most health technology assessment requires making use of all available evidence. A meta-analysis is often conducted to obtain an overall effect estimate by combining results

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Hybrid Mesons in lattice QCD

QCD is the basic theory behind nuclear physics . The quarks and gluons combine together to form bound states. Currently the only confirmed type of bound states found in experiments are either mesons (quark and antiquark bound together) or baryons (a collective state of three quarks), but QCD allows other possibilities. One particularly exciting type of bound state is called

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High-Dimensional Big Data Modelling with Applications to Child Health and Forensic Science

This project will build on recent work that developed models that provide clinicians with a better understand of changes in children’s eyes as they get older. The models for visual acuity measurements made on each eye were based on two-dimensional probability density functions called copulas and smooth curves called splines that relate the shape of

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